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Finding the Third Proportional to 224,465 and 498,756

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Solution

The third proportional to 224,465 and 498,756 is: 1,108,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,465 : 498,756 = 498,756 : x
  2. Step 2: Convert to fraction form
    224,465/498,756 = 498,756/x
  3. Step 3: Cross multiply
    224,465x = 498,756 × 498,756
  4. Step 4: Simplify right side
    224,465x = 248,757,547,536
  5. Step 5: Solve for x
    x = 248,757,547,536/224,465
  6. Step 6: Final answer
    x = 1,108,224.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.